A new quaternion valued frame of curves with an application
نویسندگان
چکیده
The aim of the paper is to obtain a new version Serret-Frenet formulae for quaternionic curve in R4 by using method given Bharathi and Nagaraj. Then, we define helices H named as right left X-helix with help unit vector field X. Since quaternion product not commutative, authors ([4], [7]) have used one-sided multiplication find space related previous studies. Firstly, expressions quaternions. generalized construction curves. Finally, an application, example that supports theory this paper.
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ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2101315c